[Turkmath:6534] FW: YNT: YNT: YNT: YNT: [Fwd: Tex & DVI files] of open problems

[Okay Celebi]

   Degerli liste uyeleri,

   HKUST,Hong Kong Universitesi Emeritus Profesorlerinden
C. C. Yang 29 Haziran - 4 Temmuz tarihleri arasinda Yeditepe
Universitesinin konugu olacaktir. Bu donem icinde yapacagi
seminer hakkindaki bilgi asagidadir. Ilgilenenlere saygiyla
duyurulur.

   Okay Celebi
   Yeditepe Universitesi
   Matematik Bolumu




   SEMINERIN BASLIGI:
  Fermat type equations for  meromorphic functions , with extensions  
and generalizations

   Abstract:

First ,we present , as an analogue of the Fermat's Last Theorem for  
numbers ,  a well-known and elementary result that the Fermat type  
equation :  P1^n +P2^n=P3^n has no nonconstant polynomial solutions  
P1, P2 and P3 if n>2. Note the result says equivently that the  
functional equation : f1^n +f2^n =1 has no nonconstant rational  
(function) solutions.  We then extend and generalize  the result , by  
mainly applying value distriburion theory,  in several aspects : 1.   
the exponent n can be different for f1 and f2 ;  2.more than two  
unknown functions in the equations; 3. transcendental meromorphic  
function solutions are to be considered.  Thus,a brief account of the  
value distribution theory will be introduced . We then show , by  
concrete examples,how  to use  the theory to study the existence ,  
growth , and unicity of  admissible meromorphic solutions of certain  
functional and nonlinear differential equations .

   Tarih: 1 Temmuz 2009
   Saat: 14.00
   Yer: Matematik Bolumu Seminer odasi